Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 734, 203, 90, 418 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 203, 90, 418 is 1
GCD(734, 203, 90, 418) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 203, 90, 418 is 1
GCD(734, 203, 90, 418) = 1
Given Input numbers are 734, 203, 90, 418
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Greatest Common Divisior
We found the divisors of 734, 203, 90, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 203, 90, 418 is 1.
Therefore, GCD of numbers 734, 203, 90, 418 is 1
Given Input Data is 734, 203, 90, 418
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 203 is 7 x 29
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 418 is 2 x 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(734, 203) = 149002
GCD(734, 203) = ( 734 x 203 ) / 149002
GCD(734, 203) = 149002 / 149002
GCD(734, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
GCD of 734, 203, 90, 418 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 203, 90, 418?
GCD of 734, 203, 90, 418 is 1
2. Where do I get the detailed procedure to find GCD of 734, 203, 90, 418?
You can find a detailed procedure to find GCD of 734, 203, 90, 418 on our page.
3. How to find GCD of 734, 203, 90, 418 on a calculator?
You can find the GCD of 734, 203, 90, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.